Climate PCAs_Growth Season
Brandie Quarles
2024-11-26
Climate PCAs
Should use this code to check the significance of the PCA: https://github.com/StatQuest/pca_demo/blob/master/pca_demo.R
Remember this paper: Björklund, M. 2019. Be careful with your principal components. Evolution 73: 2151–2158.
PCAs for climate during the growth season
- Color monthly PCA by month relative to growth season?
- Bioclim vars only PCA okay? or combine with other Flint variables? Hard to combine b/c Flint data is for each month within a year and Bioclim variables are yearly summaries. Could do one with just Flint with all months in each year included and one with Flint growth season yearly averages combined with Bioclim variables
Load necessary libraries
library(tidyverse)## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ dplyr 1.1.4 ✔ readr 2.1.5
## ✔ forcats 1.0.0 ✔ stringr 1.5.1
## ✔ ggplot2 3.5.1 ✔ tibble 3.2.1
## ✔ lubridate 1.9.3 ✔ tidyr 1.3.1
## ✔ purrr 1.0.2
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag() masks stats::lag()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errorslibrary(ggrepel)
#library(cowplot)
library(gridExtra)##
## Attaching package: 'gridExtra'
##
## The following object is masked from 'package:dplyr':
##
## combinelibrary(corrplot) #plotting correlations ## corrplot 0.94 loadedlibrary(rstatix) #performing cor_test##
## Attaching package: 'rstatix'
##
## The following object is masked from 'package:stats':
##
## filterlibrary(QBMS) #for function calc_biovars to calculate bioclim variables
library(ggfortify) #easier PCA figures
sem <- function(x, na.rm=FALSE) {
sd(x,na.rm=na.rm)/sqrt(length(na.omit(x)))
} #standard error function
get_legend<-function(myggplot){
tmp <- ggplot_gtable(ggplot_build(myggplot))
leg <- which(sapply(tmp$grobs, function(x) x$name) == "guide-box")
legend <- tmp$grobs[[leg]]
return(legend)
} #legend function for grid_arrange
elev_three_palette <- c("#0043F0", "#C9727F", "#F5A540") #colors from Gremer et al 2019
elev_order <- c("High", "Mid", "Low")
month_order <- c("jan","feb","mar","apr","may","jun","jul","aug","sep","oct","nov","dec")Load the Flint growth season data (from “Flint_Growth_Season.Rmd”)
flint_recent_grwseason <- read_csv("../output/Climate/flint_climate_growthseason_recent.csv") %>%
dplyr::select(month, parent.pop:tmx)## Rows: 4980 Columns: 16
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr (2): parent.pop, elevation.group
## dbl (14): month, growmonth, elev_m, PckSum, Lat, Long, year, cwd, pck, ppt, ...
##
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.head(flint_recent_grwseason, 12)## # A tibble: 12 × 13
## month parent.pop elevation.group elev_m PckSum Lat Long year cwd pck
## <dbl> <chr> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 12 BH Low 511. 0 37.4 -120. 1994 29.0 0
## 2 1 BH Low 511. 0 37.4 -120. 1994 31.3 0
## 3 2 BH Low 511. 0 37.4 -120. 1994 41.4 0
## 4 3 BH Low 511. 0 37.4 -120. 1994 61.4 0
## 5 4 BH Low 511. 0 37.4 -120. 1994 58.6 0
## 6 5 BH Low 511. 0 37.4 -120. 1994 19.1 0
## 7 6 BH Low 511. 0 37.4 -120. 1994 115. 0
## 8 11 CC Low 313 0 39.6 -121. 1994 27.8 0
## 9 12 CC Low 313 0 39.6 -121. 1994 18.1 0
## 10 1 CC Low 313 0 39.6 -121. 1994 20.6 0
## 11 2 CC Low 313 0 39.6 -121. 1994 30.9 0
## 12 3 CC Low 313 0 39.6 -121. 1994 51.8 0
## # ℹ 3 more variables: ppt <dbl>, tmn <dbl>, tmx <dbl>flint_recent_grwseason %>% filter(parent.pop=="DPR")## # A tibble: 300 × 13
## month parent.pop elevation.group elev_m PckSum Lat Long year cwd pck
## <dbl> <chr> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 4 DPR Mid 1019. 91.6 39.2 -121. 1994 43.3 0
## 2 8 DPR Mid 1019. 91.6 39.2 -121. 1994 39.7 0
## 3 12 DPR Mid 1019. 91.6 39.2 -121. 1994 9.24 36.3
## 4 7 DPR Mid 1019. 91.6 39.2 -121. 1994 39.2 0
## 5 6 DPR Mid 1019. 91.6 39.2 -121. 1994 41 0
## 6 3 DPR Mid 1019. 91.6 39.2 -121. 1994 30.1 0
## 7 5 DPR Mid 1019. 91.6 39.2 -121. 1994 40.5 0
## 8 11 DPR Mid 1019. 91.6 39.2 -121. 1994 10.8 0
## 9 10 DPR Mid 1019. 91.6 39.2 -121. 1994 46.6 0
## 10 9 DPR Mid 1019. 91.6 39.2 -121. 1994 53.1 0
## # ℹ 290 more rows
## # ℹ 3 more variables: ppt <dbl>, tmn <dbl>, tmx <dbl>flint_historical_grwseason <- read_csv("../output/Climate/flint_climate_growthseason_historical.csv") %>%
dplyr::select(month, parent.pop:tmx)## Rows: 4620 Columns: 16
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr (2): parent.pop, elevation.group
## dbl (14): month, growmonth, elev_m, PckSum, Lat, Long, year, cwd, pck, ppt, ...
##
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.head(flint_historical_grwseason, 12)## # A tibble: 12 × 13
## month parent.pop elevation.group elev_m PckSum Lat Long year cwd pck
## <dbl> <chr> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 11 BH Low 511. 0.234 37.4 -120. 1964 40.2 0
## 2 12 BH Low 511. 0.234 37.4 -120. 1964 27.9 0
## 3 1 BH Low 511. 0.234 37.4 -120. 1964 28.1 0
## 4 2 BH Low 511. 0.234 37.4 -120. 1964 40.4 0
## 5 3 BH Low 511. 0.234 37.4 -120. 1964 55.9 0
## 6 4 BH Low 511. 0.234 37.4 -120. 1964 70.3 0
## 7 5 BH Low 511. 0.234 37.4 -120. 1964 42.0 0
## 8 6 BH Low 511. 0.234 37.4 -120. 1964 42.8 0
## 9 11 CC Low 313 0.951 39.6 -121. 1964 28.6 0
## 10 12 CC Low 313 0.951 39.6 -121. 1964 19.3 0
## 11 1 CC Low 313 0.951 39.6 -121. 1964 19.4 0
## 12 2 CC Low 313 0.951 39.6 -121. 1964 32.6 0
## # ℹ 3 more variables: ppt <dbl>, tmn <dbl>, tmx <dbl>Load the Bioclim growth season data (from “BioClim_Growth_Season.Rmd”)
bioclim_recent_grwseason <- read_csv("../output/Climate/BioClim_growthseason_Recent.csv")## Rows: 690 Columns: 14
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr (2): parent.pop, elevation.group
## dbl (12): elev_m, year, ann_tmean, mean_diurnal_range, temp_seasonality, tem...
##
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.bioclim_historical_grwseason <- read_csv("../output/Climate/BioClim_growthseason_Historical.csv")## Rows: 690 Columns: 14
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr (2): parent.pop, elevation.group
## dbl (12): elev_m, year, ann_tmean, mean_diurnal_range, temp_seasonality, tem...
##
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.All years and months included (Flint)
Correlations - Flint Recent
#normalize the data
climate_normalized_all_flint_recent <- flint_recent_grwseason %>% select(cwd, pck, ppt, tmn, tmx) %>% scale() #normalize the data so they're all on the same scale
head(climate_normalized_all_flint_recent)## cwd pck ppt tmn tmx
## [1,] -0.86251414 -0.2402228 -0.1500623 -0.76764081 -0.96602478
## [2,] -0.79994164 -0.2402228 -0.2881219 -0.63215078 -0.54476885
## [3,] -0.52287391 -0.2402228 0.2133010 -0.61807389 -0.74153103
## [4,] 0.02169808 -0.2402228 -0.5677457 -0.09195026 0.03231214
## [5,] -0.05453654 -0.2402228 -0.1164927 0.12800108 0.32679513
## [6,] -1.13329730 -0.2402228 -0.3165270 0.65412471 0.71503726cor.norm = cor(climate_normalized_all_flint_recent) #test correlations among the traits
corrplot(cor.norm)
#tmn and tmx highly correlated, consider removing one PCA - Flint Recent
all_flint_recent.pc = prcomp(flint_recent_grwseason[c(9:13)], scale = TRUE, center = TRUE)
str(all_flint_recent.pc)## List of 5
## $ sdev : num [1:5] 1.794 0.896 0.775 0.588 0.181
## $ rotation: num [1:5, 1:5] 0.421 -0.339 -0.442 0.491 0.521 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : chr [1:5] "cwd" "pck" "ppt" "tmn" ...
## .. ..$ : chr [1:5] "PC1" "PC2" "PC3" "PC4" ...
## $ center : Named num [1:5] 60.58 14.61 75.6 5.88 19.07
## ..- attr(*, "names")= chr [1:5] "cwd" "pck" "ppt" "tmn" ...
## $ scale : Named num [1:5] 36.6 60.82 108.43 5.68 7.57
## ..- attr(*, "names")= chr [1:5] "cwd" "pck" "ppt" "tmn" ...
## $ x : num [1:4980, 1:5] -1.096 -0.723 -0.923 0.313 0.343 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : NULL
## .. ..$ : chr [1:5] "PC1" "PC2" "PC3" "PC4" ...
## - attr(*, "class")= chr "prcomp"plot % Variance Explained
summary(all_flint_recent.pc)## Importance of components:
## PC1 PC2 PC3 PC4 PC5
## Standard deviation 1.7936 0.8963 0.7753 0.58803 0.18095
## Proportion of Variance 0.6434 0.1607 0.1202 0.06916 0.00655
## Cumulative Proportion 0.6434 0.8041 0.9243 0.99345 1.00000tibble(PC=str_c("PC",str_pad(1:5,2,pad="0")),
percent_var=all_flint_recent.pc$sdev[1:5]^2/sum(all_flint_recent.pc$sdev^2)*100) %>%
ggplot(aes(x=PC, y=percent_var)) +
geom_col() +
ggtitle("Percent Variance Explained")
Combine PCs with metadata
all_flint_recent.pc.dat = data.frame(all_flint_recent.pc$x)
all_flint_recent_locs.pc = cbind(flint_recent_grwseason, all_flint_recent.pc.dat)
all_flint_recent_loadings = data.frame(varnames=rownames(all_flint_recent.pc$rotation), all_flint_recent.pc$rotation)
all_flint_recent_loadings## varnames PC1 PC2 PC3 PC4 PC5
## cwd cwd 0.4209633 -0.4046565 0.52803861 -0.61476189 0.04781279
## pck pck -0.3386036 -0.8402811 0.09896283 0.40951887 0.04214116
## ppt ppt -0.4415379 -0.2134006 -0.55927949 -0.65325346 -0.14131813
## tmn tmn 0.4914009 -0.2018630 -0.54036499 0.05579054 0.65013043
## tmx tmx 0.5212551 -0.2095049 -0.32648693 0.15655495 -0.74383982autoplot(all_flint_recent.pc, data = flint_recent_grwseason,
colour='elev_m', alpha=0.5,
loadings=TRUE, loadings.colour='black', loadings.linewidth = 0.7,
loadings.label = TRUE, loadings.label.size=8, loadings.label.colour="black", loadings.label.vjust = -0.2) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_vline(xintercept = 0, linetype="dashed") + geom_hline(yintercept = 0, linetype="dashed") +
theme_classic()
#for plot customizations see: ?ggbiplotPCs 3 and 4
autoplot(all_flint_recent.pc, data = flint_recent_grwseason,
x=3, y=4,
colour='elev_m', alpha=0.5,
loadings=TRUE, loadings.colour='black', loadings.linewidth = 0.7,
loadings.label = TRUE, loadings.label.size=8, loadings.label.colour="black", loadings.label.vjust = -0.2) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_vline(xintercept = 0, linetype="dashed") + geom_hline(yintercept = 0, linetype="dashed") +
theme_classic()
Correlations - Flint Historical
#normalize the data
climate_normalized_all_flint_historical <- flint_historical_grwseason %>% select(cwd, pck, ppt, tmn, tmx) %>% scale() #normalize the data so they're all on the same scale
head(climate_normalized_all_flint_historical)## cwd pck ppt tmn tmx
## [1,] -0.51979441 -0.2387512 0.37680686 -0.29541143 -0.4545244
## [2,] -0.87681447 -0.2387512 1.28117671 -0.07285286 -0.7038260
## [3,] -0.87126343 -0.2387512 -0.12383791 -0.77636426 -0.9666766
## [4,] -0.51336688 -0.2387512 -0.70526437 -0.88198528 -0.4531695
## [5,] -0.06081035 -0.2387512 -0.05213384 -0.54060307 -0.3827147
## [6,] 0.36136149 -0.2387512 -0.46310268 -0.11623292 0.2120864cor.norm = cor(climate_normalized_all_flint_historical) #test correlations among the traits
corrplot(cor.norm)
#tmn and tmx highly correlated, consider removing one PCA - Flint Historical
all_flint_historical.pc = prcomp(flint_historical_grwseason[c(9:13)], scale = TRUE, center = TRUE)
str(all_flint_historical.pc)## List of 5
## $ sdev : num [1:5] 1.791 0.91 0.784 0.555 0.199
## $ rotation: num [1:5, 1:5] 0.402 -0.367 -0.453 0.481 0.517 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : chr [1:5] "cwd" "pck" "ppt" "tmn" ...
## .. ..$ : chr [1:5] "PC1" "PC2" "PC3" "PC4" ...
## $ center : Named num [1:5] 57.95 15.85 79.27 4.64 18.56
## ..- attr(*, "names")= chr [1:5] "cwd" "pck" "ppt" "tmn" ...
## $ scale : Named num [1:5] 34.23 66.4 109.06 5.3 7.38
## ..- attr(*, "names")= chr [1:5] "cwd" "pck" "ppt" "tmn" ...
## $ x : num [1:4620, 1:5] -0.669 -1.243 -1.079 -0.458 -0.371 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : NULL
## .. ..$ : chr [1:5] "PC1" "PC2" "PC3" "PC4" ...
## - attr(*, "class")= chr "prcomp"plot % Variance Explained
summary(all_flint_historical.pc)## Importance of components:
## PC1 PC2 PC3 PC4 PC5
## Standard deviation 1.7913 0.9104 0.7844 0.55473 0.19854
## Proportion of Variance 0.6418 0.1658 0.1231 0.06154 0.00788
## Cumulative Proportion 0.6418 0.8075 0.9306 0.99212 1.00000tibble(PC=str_c("PC",str_pad(1:5,2,pad="0")),
percent_var=all_flint_historical.pc$sdev[1:5]^2/sum(all_flint_historical.pc$sdev^2)*100) %>%
ggplot(aes(x=PC, y=percent_var)) +
geom_col() +
ggtitle("Percent Variance Explained")
Combine PCs with metadata
all_flint_historical.pc.dat = data.frame(all_flint_historical.pc$x)
all_flint_historical_locs.pc = cbind(flint_historical_grwseason, all_flint_historical.pc.dat)
all_flint_historical_loadings = data.frame(varnames=rownames(all_flint_historical.pc$rotation), all_flint_historical.pc$rotation)
all_flint_historical_loadings## varnames PC1 PC2 PC3 PC4 PC5
## cwd cwd 0.4015908 -0.3597346 -0.7169875 -0.43715586 0.06433885
## pck pck -0.3672729 -0.7532999 -0.1416984 0.52355590 0.05882720
## ppt ppt -0.4528282 -0.3579272 0.3501661 -0.71964556 -0.16226126
## tmn tmn 0.4811828 -0.3112255 0.5099975 -0.04412598 0.63996661
## tmx tmx 0.5169576 -0.2795658 0.2883344 0.12225850 -0.74599859autoplot(all_flint_historical.pc, data = flint_historical_grwseason,
colour='elev_m', alpha=0.5,
loadings=TRUE, loadings.colour='black', loadings.linewidth = 0.7,
loadings.label = TRUE, loadings.label.size=8, loadings.label.colour="black", loadings.label.vjust = -0.2) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_vline(xintercept = 0, linetype="dashed") + geom_hline(yintercept = 0, linetype="dashed") +
theme_classic()
PCs 3 and 4
autoplot(all_flint_historical.pc, data = flint_historical_grwseason,
x=3, y=4,
colour='elev_m', alpha=0.5,
loadings=TRUE, loadings.colour='black', loadings.linewidth = 0.7,
loadings.label = TRUE, loadings.label.size=8, loadings.label.colour="black", loadings.label.vjust = -0.2) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_vline(xintercept = 0, linetype="dashed") + geom_hline(yintercept = 0, linetype="dashed") +
theme_classic()
All years included (bioclim)
Correlations - bioclim Recent
#normalize the data
climate_normalized_all_bioclim_recent <- bioclim_recent_grwseason %>% select(ann_tmean:ppt_coldest_month) %>% scale() #normalize the data so they're all on the same scale
head(climate_normalized_all_bioclim_recent)## ann_tmean mean_diurnal_range temp_seasonality temp_ann_range ann_ppt
## [1,] 0.2761737 0.6138628 -1.0023399 0.3211031 -0.6686580
## [2,] 0.1726151 -1.1536434 -2.8805248 -2.1893221 0.8644685
## [3,] 0.5581316 -0.1385138 -1.5496956 -0.7530692 0.5970773
## [4,] 0.6144072 0.5212626 -0.6889491 -0.5036360 -0.4335098
## [5,] -0.4226294 -1.3041187 -2.4294195 -1.1754965 0.9673067
## [6,] -0.1403814 0.6809979 -1.6095230 -0.5398440 -0.5508902
## ppt_seasonality tmean_wettest_month tmean_driest_month ppt_warmest_month
## [1,] -1.7110673 0.8149577 0.8620499 -0.52448175
## [2,] -1.1689020 1.0816768 0.3661528 1.48792262
## [3,] -0.7061789 1.0555976 0.8936812 0.20546501
## [4,] 2.3786780 0.9026787 0.5783886 -0.36461375
## [5,] -1.5803150 0.7888785 0.2365666 2.67727029
## [6,] -0.8224144 0.8019181 -1.9357891 -0.05541849
## ppt_coldest_month
## [1,] -1.08795478
## [2,] 0.17223809
## [3,] 0.57208939
## [4,] 0.49161263
## [5,] 0.04540278
## [6,] -0.90709311cor.norm = cor(climate_normalized_all_bioclim_recent) #test correlations among the traits
corrplot(cor.norm)
PCA - bioclim Recent
all_bioclim_recent.pc = prcomp(bioclim_recent_grwseason[c(5:14)], scale = TRUE, center = TRUE)
str(all_bioclim_recent.pc)## List of 5
## $ sdev : num [1:10] 1.721 1.521 1.35 0.961 0.894 ...
## $ rotation: num [1:10, 1:10] -0.4729 0.0836 -0.0875 -0.2766 -0.4374 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : chr [1:10] "ann_tmean" "mean_diurnal_range" "temp_seasonality" "temp_ann_range" ...
## .. ..$ : chr [1:10] "PC1" "PC2" "PC3" "PC4" ...
## $ center : Named num [1:10] 12 13.2 6.48 29.8 545.65 ...
## ..- attr(*, "names")= chr [1:10] "ann_tmean" "mean_diurnal_range" "temp_seasonality" "temp_ann_range" ...
## $ scale : Named num [1:10] 2.462 1.234 0.906 2.486 335.576 ...
## ..- attr(*, "names")= chr [1:10] "ann_tmean" "mean_diurnal_range" "temp_seasonality" "temp_ann_range" ...
## $ x : num [1:690, 1:10] -0.152 0.235 -1.008 -0.693 0.644 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : NULL
## .. ..$ : chr [1:10] "PC1" "PC2" "PC3" "PC4" ...
## - attr(*, "class")= chr "prcomp"plot % Variance Explained
summary(all_bioclim_recent.pc)## Importance of components:
## PC1 PC2 PC3 PC4 PC5 PC6 PC7
## Standard deviation 1.7209 1.5213 1.3502 0.9612 0.89351 0.74108 0.54910
## Proportion of Variance 0.2962 0.2314 0.1823 0.0924 0.07984 0.05492 0.03015
## Cumulative Proportion 0.2962 0.5276 0.7099 0.8023 0.88212 0.93704 0.96719
## PC8 PC9 PC10
## Standard deviation 0.43075 0.31743 0.20436
## Proportion of Variance 0.01855 0.01008 0.00418
## Cumulative Proportion 0.98575 0.99582 1.00000tibble(PC=str_c("PC",str_pad(1:10,2,pad="0")),
percent_var=all_bioclim_recent.pc$sdev[1:10]^2/sum(all_bioclim_recent.pc$sdev^2)*100) %>%
ggplot(aes(x=PC, y=percent_var)) +
geom_col() +
ggtitle("Percent Variance Explained")
Combine PCs with metadata
all_bioclim_recent.pc.dat = data.frame(all_bioclim_recent.pc$x)
all_bioclim_recent_locs.pc = cbind(bioclim_recent_grwseason, all_bioclim_recent.pc.dat)
all_bioclim_recent_loadings = data.frame(varnames=rownames(all_bioclim_recent.pc$rotation), all_bioclim_recent.pc$rotation)
all_bioclim_recent_loadings## varnames PC1 PC2 PC3
## ann_tmean ann_tmean -0.47294969 -0.10769683 -0.18695274
## mean_diurnal_range mean_diurnal_range 0.08355263 0.20062996 -0.39175403
## temp_seasonality temp_seasonality -0.08752383 0.56123542 -0.01918244
## temp_ann_range temp_ann_range -0.27663379 0.42980564 -0.32891011
## ann_ppt ann_ppt -0.43739126 -0.11375540 0.38785094
## ppt_seasonality ppt_seasonality -0.02957250 0.41182770 0.28153119
## tmean_wettest_month tmean_wettest_month -0.23554729 -0.47610737 -0.26206924
## tmean_driest_month tmean_driest_month -0.50922379 -0.05061960 -0.15030124
## ppt_warmest_month ppt_warmest_month 0.26624536 -0.16681235 0.27372074
## ppt_coldest_month ppt_coldest_month -0.32754730 0.09392366 0.55420724
## PC4 PC5 PC6 PC7
## ann_tmean 0.198121730 0.03884254 0.499322651 -0.06481732
## mean_diurnal_range 0.703035880 -0.26210066 -0.399345532 0.00351096
## temp_seasonality -0.382382171 -0.20271266 0.156805591 0.29366880
## temp_ann_range -0.097739404 -0.32267517 0.038230219 0.15221920
## ann_ppt -0.009604171 -0.22563951 -0.321755149 0.11507947
## ppt_seasonality 0.470351467 0.43104495 0.404100954 0.03129445
## tmean_wettest_month 0.107799504 0.02619142 0.154677299 0.64333594
## tmean_driest_month -0.061114330 -0.05107695 -0.002917302 -0.64372169
## ppt_warmest_month 0.175169026 -0.73458756 0.472222104 -0.11843381
## ppt_coldest_month 0.208222454 -0.07039990 -0.226714012 0.17281896
## PC8 PC9 PC10
## ann_tmean -0.57567289 0.30520244 0.10457290
## mean_diurnal_range 0.02019280 0.26085679 -0.09162947
## temp_seasonality 0.20088565 0.56155529 -0.15214835
## temp_ann_range -0.11009264 -0.67103872 0.17274594
## ann_ppt -0.22368833 -0.09482031 -0.64692952
## ppt_seasonality 0.22692706 -0.21774610 -0.28292608
## tmean_wettest_month 0.44335953 -0.03483613 -0.03556411
## tmean_driest_month 0.54066586 0.04342030 -0.02456608
## ppt_warmest_month 0.12606652 -0.05016327 -0.02513013
## ppt_coldest_month 0.09698029 0.10558605 0.65315655autoplot(all_bioclim_recent.pc, data = bioclim_recent_grwseason,
colour='elev_m', alpha=0.5,
loadings=TRUE, loadings.colour='black', loadings.linewidth = 0.7,
loadings.label = TRUE, loadings.label.size=6, loadings.label.colour="black",
loadings.label.vjust = -0.2, loadings.label.repel=TRUE) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_vline(xintercept = 0, linetype="dashed") + geom_hline(yintercept = 0, linetype="dashed") +
theme_classic()
PCs 3 and 4
autoplot(all_bioclim_recent.pc, data = bioclim_recent_grwseason,
x=3, y=4,
colour='elev_m', alpha=0.5,
loadings=TRUE, loadings.colour='black', loadings.linewidth = 0.7,
loadings.label = TRUE, loadings.label.size=6, loadings.label.colour="black",
loadings.label.vjust = -0.2, loadings.label.repel=TRUE) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_vline(xintercept = 0, linetype="dashed") + geom_hline(yintercept = 0, linetype="dashed") +
theme_classic()
PCs 4 and 5
autoplot(all_bioclim_recent.pc, data = bioclim_recent_grwseason,
x=4, y=5,
colour='elev_m', alpha=0.5,
loadings=TRUE, loadings.colour='black', loadings.linewidth = 0.7,
loadings.label = TRUE, loadings.label.size=6, loadings.label.colour="black",
loadings.label.vjust = -0.2, loadings.label.repel=TRUE) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_vline(xintercept = 0, linetype="dashed") + geom_hline(yintercept = 0, linetype="dashed") +
theme_classic()
Correlations - bioclim Historical
#normalize the data
climate_normalized_all_bioclim_historical <- bioclim_historical_grwseason %>% select(ann_tmean:ppt_coldest_month) %>% scale() #normalize the data so they're all on the same scale
head(climate_normalized_all_bioclim_historical)## ann_tmean mean_diurnal_range temp_seasonality temp_ann_range ann_ppt
## [1,] 0.004943863 0.08496148 -1.3986162 0.06319998 0.05517251
## [2,] 0.088110769 -0.33804436 -1.6594862 -0.55943285 0.14087650
## [3,] 0.562453554 0.41853691 -0.2024013 0.65199407 -0.53185276
## [4,] 0.001805490 -0.24950825 -1.0257704 0.19517107 0.38003146
## [5,] 0.450592945 0.39081349 -0.5120826 1.26109141 -0.24422639
## [6,] 0.236511017 -0.15202911 -1.1052001 -0.85721378 0.94709053
## ppt_seasonality tmean_wettest_month tmean_driest_month ppt_warmest_month
## [1,] -0.39890083 0.8766686 -1.7026494 -0.01293049
## [2,] -0.63479745 1.4648974 0.5239790 -0.50592456
## [3,] -0.02319313 0.4300906 1.1153033 -0.48463092
## [4,] -1.09093643 0.7025789 0.0762761 0.29073534
## [5,] -1.26741830 0.2754643 1.3242973 -0.50592456
## [6,] -0.33998990 0.4311719 0.3516332 -0.27910099
## ppt_coldest_month
## [1,] -0.1570492
## [2,] -0.2029876
## [3,] -0.6296645
## [4,] -0.2734897
## [5,] -0.7154342
## [6,] 0.5339937cor.norm = cor(climate_normalized_all_bioclim_historical) #test correlations among the traits
corrplot(cor.norm)
PCA - bioclim Historical
all_bioclim_historical.pc = prcomp(bioclim_historical_grwseason[c(5:14)], scale = TRUE, center = TRUE)
str(all_bioclim_historical.pc)## List of 5
## $ sdev : num [1:10] 1.749 1.412 1.352 0.989 0.932 ...
## $ rotation: num [1:10, 1:10] -0.4563 -0.0359 -0.3388 -0.4612 -0.2615 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : chr [1:10] "ann_tmean" "mean_diurnal_range" "temp_seasonality" "temp_ann_range" ...
## .. ..$ : chr [1:10] "PC1" "PC2" "PC3" "PC4" ...
## $ center : Named num [1:10] 10.97 13.96 6.02 29.28 530.74 ...
## ..- attr(*, "names")= chr [1:10] "ann_tmean" "mean_diurnal_range" "temp_seasonality" "temp_ann_range" ...
## $ scale : Named num [1:10] 2.788 1.398 0.929 2.955 318.538 ...
## ..- attr(*, "names")= chr [1:10] "ann_tmean" "mean_diurnal_range" "temp_seasonality" "temp_ann_range" ...
## $ x : num [1:690, 1:10] 1.218 0.314 -0.978 0.365 -1.026 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : NULL
## .. ..$ : chr [1:10] "PC1" "PC2" "PC3" "PC4" ...
## - attr(*, "class")= chr "prcomp"plot % Variance Explained
summary(all_bioclim_historical.pc)## Importance of components:
## PC1 PC2 PC3 PC4 PC5 PC6 PC7
## Standard deviation 1.7495 1.4116 1.3523 0.98939 0.93170 0.78260 0.57330
## Proportion of Variance 0.3061 0.1993 0.1829 0.09789 0.08681 0.06125 0.03287
## Cumulative Proportion 0.3061 0.5053 0.6882 0.78608 0.87289 0.93413 0.96700
## PC8 PC9 PC10
## Standard deviation 0.40079 0.32781 0.24884
## Proportion of Variance 0.01606 0.01075 0.00619
## Cumulative Proportion 0.98306 0.99381 1.00000tibble(PC=str_c("PC",str_pad(1:10,2,pad="0")),
percent_var=all_bioclim_historical.pc$sdev[1:10]^2/sum(all_bioclim_historical.pc$sdev^2)*100) %>%
ggplot(aes(x=PC, y=percent_var)) +
geom_col() +
ggtitle("Percent Variance Explained")
Combine PCs with metadata
all_bioclim_historical.pc.dat = data.frame(all_bioclim_historical.pc$x)
all_bioclim_historical_locs.pc = cbind(bioclim_historical_grwseason, all_bioclim_historical.pc.dat)
all_bioclim_historical_loadings = data.frame(varnames=rownames(all_bioclim_historical.pc$rotation), all_bioclim_historical.pc$rotation)
all_bioclim_historical_loadings## varnames PC1 PC2 PC3
## ann_tmean ann_tmean -0.45629135 0.23710220 -0.1730209
## mean_diurnal_range mean_diurnal_range -0.03589931 0.20759188 0.3758794
## temp_seasonality temp_seasonality -0.33883556 -0.21787815 0.3895847
## temp_ann_range temp_ann_range -0.46120137 0.09915378 0.2911962
## ann_ppt ann_ppt -0.26150039 -0.36316478 -0.4703598
## ppt_seasonality ppt_seasonality -0.17766595 -0.35032818 0.2834721
## tmean_wettest_month tmean_wettest_month -0.13189421 0.45294850 -0.4112170
## tmean_driest_month tmean_driest_month -0.47786757 0.14056739 -0.1880886
## ppt_warmest_month ppt_warmest_month 0.29109467 -0.16326031 -0.1921435
## ppt_coldest_month ppt_coldest_month -0.18043268 -0.58068222 -0.2218475
## PC4 PC5 PC6 PC7
## ann_tmean 0.12434285 -0.03245174 0.40551041 -0.156410516
## mean_diurnal_range 0.53489661 0.60658285 -0.25765421 -0.096763322
## temp_seasonality -0.43409344 0.03307222 0.12688949 0.344888005
## temp_ann_range -0.16920098 0.26617964 -0.04672939 0.288299147
## ann_ppt -0.01975146 0.20633185 -0.29116405 0.087176266
## ppt_seasonality 0.53514726 -0.32790971 0.44845408 -0.022024384
## tmean_wettest_month 0.27381442 -0.05439636 0.10431513 0.610768181
## tmean_driest_month -0.14253241 0.07018660 0.01233685 -0.609538251
## ppt_warmest_month -0.13791284 0.62464646 0.65208778 0.008220436
## ppt_coldest_month 0.28333001 0.10436874 -0.16956167 0.106683996
## PC8 PC9 PC10
## ann_tmean 0.58793938 -0.36611183 0.143236626
## mean_diurnal_range -0.05985265 -0.25779750 -0.120348170
## temp_seasonality -0.26628343 -0.52867158 -0.104705626
## temp_ann_range 0.22139721 0.66023638 0.151516214
## ann_ppt 0.20466132 0.00912860 -0.633389142
## ppt_seasonality -0.13934819 0.23220143 -0.310659997
## tmean_wettest_month -0.38221070 -0.01468383 -0.013739820
## tmean_driest_month -0.55382736 0.11211205 0.016777639
## ppt_warmest_month -0.08749058 0.09769600 -0.001591372
## ppt_coldest_month -0.09514630 -0.08812938 0.657962699autoplot(all_bioclim_historical.pc, data = bioclim_historical_grwseason,
colour='elev_m', alpha=0.5,
loadings=TRUE, loadings.colour='black', loadings.linewidth = 0.7,
loadings.label = TRUE, loadings.label.size=6, loadings.label.colour="black",
loadings.label.vjust = -0.2, loadings.label.repel=TRUE) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_vline(xintercept = 0, linetype="dashed") + geom_hline(yintercept = 0, linetype="dashed") +
theme_classic()
PCs 3 and 4
autoplot(all_bioclim_historical.pc, data = bioclim_historical_grwseason,
x=3, y=4,
colour='elev_m', alpha=0.5,
loadings=TRUE, loadings.colour='black', loadings.linewidth = 0.7,
loadings.label = TRUE, loadings.label.size=6, loadings.label.colour="black",
loadings.label.vjust = -0.2, loadings.label.repel=TRUE) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_vline(xintercept = 0, linetype="dashed") + geom_hline(yintercept = 0, linetype="dashed") +
theme_classic()
PCs 4 and 5
autoplot(all_bioclim_historical.pc, data = bioclim_historical_grwseason,
x=4, y=5,
colour='elev_m', alpha=0.5,
loadings=TRUE, loadings.colour='black', loadings.linewidth = 0.7,
loadings.label = TRUE, loadings.label.size=6, loadings.label.colour="black",
loadings.label.vjust = -0.2, loadings.label.repel=TRUE) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_vline(xintercept = 0, linetype="dashed") + geom_hline(yintercept = 0, linetype="dashed") +
theme_classic()
Monthly Averages - Flint
Calculate avgs
flint_recent_grwseason_mosavgs <- flint_recent_grwseason %>%
group_by(parent.pop, elevation.group, elev_m, Lat, Long, month) %>%
summarise_at(c("cwd", "pck", "ppt", "tmn", "tmx"), c(mean), na.rm = TRUE) %>%
mutate(TimePd = "Recent")
flint_recent_grwseason_mosavgs## # A tibble: 166 × 12
## # Groups: parent.pop, elevation.group, elev_m, Lat, Long [23]
## parent.pop elevation.group elev_m Lat Long month cwd pck ppt tmn
## <chr> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 BH Low 511. 37.4 -120. 1 29.4 0 124. 2.81
## 2 BH Low 511. 37.4 -120. 2 41.0 0 93.9 3.32
## 3 BH Low 511. 37.4 -120. 3 53.9 0 90.1 4.82
## 4 BH Low 511. 37.4 -120. 4 59.0 0 48.2 6.41
## 5 BH Low 511. 37.4 -120. 5 51.4 0 23.2 9.78
## 6 BH Low 511. 37.4 -120. 6 89.3 0 6.34 13.6
## 7 BH Low 511. 37.4 -120. 12 30.0 0 111. 2.59
## 8 CC Low 313 39.6 -121. 1 19.6 0 184. 4.27
## 9 CC Low 313 39.6 -121. 2 31.4 0 165. 4.81
## 10 CC Low 313 39.6 -121. 3 45.3 0 148. 6.18
## # ℹ 156 more rows
## # ℹ 2 more variables: tmx <dbl>, TimePd <chr>flint_historical_grwseason_mosavgs <- flint_historical_grwseason %>%
group_by(parent.pop, elevation.group, elev_m, Lat, Long, month) %>%
summarise_at(c("cwd", "pck", "ppt", "tmn", "tmx"), c(mean), na.rm = TRUE) %>%
mutate(TimePd = "Historical")
flint_historical_grwseason_mosavgs## # A tibble: 154 × 12
## # Groups: parent.pop, elevation.group, elev_m, Lat, Long [23]
## parent.pop elevation.group elev_m Lat Long month cwd pck ppt tmn
## <chr> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 BH Low 511. 37.4 -120. 1 28.0 0.234 104. 1.46
## 2 BH Low 511. 37.4 -120. 2 40.4 0 92.2 2.76
## 3 BH Low 511. 37.4 -120. 3 51.2 0 101. 4.04
## 4 BH Low 511. 37.4 -120. 4 62.2 0 46.4 5.57
## 5 BH Low 511. 37.4 -120. 5 63.5 0 12.6 8.83
## 6 BH Low 511. 37.4 -120. 6 87.5 0 5.73 12.4
## 7 BH Low 511. 37.4 -120. 11 43.8 0 82.0 4.37
## 8 BH Low 511. 37.4 -120. 12 28.5 0 89.3 1.44
## 9 CC Low 313 39.6 -121. 1 18.7 0.951 191. 2.42
## 10 CC Low 313 39.6 -121. 2 31.1 0 146. 4.04
## # ℹ 144 more rows
## # ℹ 2 more variables: tmx <dbl>, TimePd <chr>flint_grwseason_mosavgs <- bind_rows(flint_recent_grwseason_mosavgs, flint_historical_grwseason_mosavgs) #combine into 1 dataframe
head(flint_grwseason_mosavgs)## # A tibble: 6 × 12
## # Groups: parent.pop, elevation.group, elev_m, Lat, Long [1]
## parent.pop elevation.group elev_m Lat Long month cwd pck ppt tmn
## <chr> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 BH Low 511. 37.4 -120. 1 29.4 0 124. 2.81
## 2 BH Low 511. 37.4 -120. 2 41.0 0 93.9 3.32
## 3 BH Low 511. 37.4 -120. 3 53.9 0 90.1 4.82
## 4 BH Low 511. 37.4 -120. 4 59.0 0 48.2 6.41
## 5 BH Low 511. 37.4 -120. 5 51.4 0 23.2 9.78
## 6 BH Low 511. 37.4 -120. 6 89.3 0 6.34 13.6
## # ℹ 2 more variables: tmx <dbl>, TimePd <chr>tail(flint_grwseason_mosavgs)## # A tibble: 6 × 12
## # Groups: parent.pop, elevation.group, elev_m, Lat, Long [2]
## parent.pop elevation.group elev_m Lat Long month cwd pck ppt tmn
## <chr> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 YO7 High 2470. 37.8 -120. 11 33.2 82.1 149. -5.04
## 2 YO8 High 2591. 37.8 -119. 7 117. 0 15.7 6.14
## 3 YO8 High 2591. 37.8 -119. 8 113. 0 14.1 6.00
## 4 YO8 High 2591. 37.8 -119. 9 98.1 0 32.5 2.92
## 5 YO8 High 2591. 37.8 -119. 10 71.9 0 64.0 -0.564
## 6 YO8 High 2591. 37.8 -119. 11 31.9 88.9 148. -5.77
## # ℹ 2 more variables: tmx <dbl>, TimePd <chr>Correlations - Recent + Historical
#normalize the data
climate_normalized_flint_grwseason_mosavgs <- flint_grwseason_mosavgs %>% ungroup() %>%
select(cwd:tmx) %>% scale() #normalize the data so they're all on the same scale
head(climate_normalized_flint_grwseason_mosavgs)## cwd pck ppt tmn tmx
## [1,] -0.921478463 -0.3466925 0.6370523 -0.46312448 -0.6766390
## [2,] -0.564920883 -0.3466925 0.2242746 -0.36707575 -0.5376371
## [3,] -0.165578858 -0.3466925 0.1721933 -0.08609735 -0.1940932
## [4,] -0.008743628 -0.3466925 -0.3952891 0.20996462 0.2278868
## [5,] -0.242892723 -0.3466925 -0.7334882 0.84073244 0.9548144
## [6,] 0.923602028 -0.3466925 -0.9618371 1.55259007 1.7153641cor.norm = cor(climate_normalized_flint_grwseason_mosavgs) #test correlations among the traits
corrplot(cor.norm)
#tmn and tmx highly correlated, consider removing one (96%)
#tmx and ppt highly neg correlated (-82%)PCA - Recent + Historical
#flint_grwseason_mosavgs[c(8:12)]
mos_flint.pc = prcomp(flint_grwseason_mosavgs[c(7:11)], scale = TRUE, center = TRUE)
str(mos_flint.pc)## List of 5
## $ sdev : num [1:5] 1.923 0.813 0.673 0.403 0.163
## $ rotation: num [1:5, 1:5] 0.408 -0.369 -0.478 0.475 0.493 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : chr [1:5] "cwd" "pck" "ppt" "tmn" ...
## .. ..$ : chr [1:5] "PC1" "PC2" "PC3" "PC4" ...
## $ center : Named num [1:5] 59.31 15.21 77.36 5.28 18.82
## ..- attr(*, "names")= chr [1:5] "cwd" "pck" "ppt" "tmn" ...
## $ scale : Named num [1:5] 32.47 43.87 73.85 5.35 7.24
## ..- attr(*, "names")= chr [1:5] "cwd" "pck" "ppt" "tmn" ...
## $ x : num [1:320, 1:5] -1.106 -0.649 -0.159 0.526 1.25 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : NULL
## .. ..$ : chr [1:5] "PC1" "PC2" "PC3" "PC4" ...
## - attr(*, "class")= chr "prcomp"plot % Variance Explained
summary(mos_flint.pc)## Importance of components:
## PC1 PC2 PC3 PC4 PC5
## Standard deviation 1.9230 0.8129 0.67265 0.4031 0.16259
## Proportion of Variance 0.7396 0.1322 0.09049 0.0325 0.00529
## Cumulative Proportion 0.7396 0.8717 0.96222 0.9947 1.00000tibble(PC=str_c("PC",str_pad(1:5,2,pad="0")),
percent_var=mos_flint.pc$sdev[1:5]^2/sum(mos_flint.pc$sdev^2)*100) %>%
ggplot(aes(x=PC, y=percent_var)) +
geom_col() +
ggtitle("Percent Variance Explained")
Combine PCs with metadata
mos_flint.pc.dat = data.frame(mos_flint.pc$x)
mos_flint_locs.pc = cbind(flint_grwseason_mosavgs, mos_flint.pc.dat)
mos_flint_loadings = data.frame(varnames=rownames(mos_flint.pc$rotation), mos_flint.pc$rotation)
mos_flint_loadings## varnames PC1 PC2 PC3 PC4 PC5
## cwd cwd 0.4079383 -0.62441458 0.4356779 -0.50282739 0.03228327
## pck pck -0.3689755 -0.73758843 -0.5429174 0.14952145 0.05200364
## ppt ppt -0.4784822 0.20391233 -0.1918978 -0.81764612 -0.15525646
## tmn tmn 0.4747355 0.15600497 -0.5378861 -0.23370847 0.63745394
## tmx tmx 0.4930765 0.01232635 -0.4350623 -0.04053562 -0.75219766autoplot(mos_flint.pc, data = flint_grwseason_mosavgs,
colour='elev_m', alpha=0.5,
label=TRUE, label.label="month",
loadings=TRUE, loadings.colour='black', loadings.linewidth = 0.7,
loadings.label = TRUE, loadings.label.size=6, loadings.label.colour="black",
loadings.label.vjust = -0.2, loadings.label.repel=TRUE) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_vline(xintercept = 0, linetype="dashed") + geom_hline(yintercept = 0, linetype="dashed") +
theme_classic()
#high elev seems most similar to low elev in summer months mos_flint_locs.pc_avg <- mos_flint_locs.pc %>%
group_by(parent.pop, elev_m, TimePd,month) %>%
summarise(across(.cols=starts_with("PC"), .fns = mean)) %>%
ungroup()## `summarise()` has grouped output by 'parent.pop', 'elev_m', 'TimePd'. You can
## override using the `.groups` argument.mos_flint_locs.pc_avg## # A tibble: 320 × 10
## parent.pop elev_m TimePd month pck PC1 PC2 PC3 PC4 PC5
## <chr> <dbl> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 BH 511. Historic… 1 0.234 -1.20 0.804 0.458 0.342 0.0917
## 2 BH 511. Historic… 2 0 -0.691 0.580 0.381 0.209 0.0297
## 3 BH 511. Historic… 3 0 -0.394 0.437 0.281 -0.121 0.0158
## 4 BH 511. Historic… 4 0 0.476 0.125 0.204 0.227 -0.0453
## 5 BH 511. Historic… 5 0 1.39 0.113 -0.364 0.407 -0.179
## 6 BH 511. Historic… 6 0 2.38 -0.257 -0.670 -0.0708 -0.220
## 7 BH 511. Historic… 11 0 -0.273 0.538 0.143 0.184 -0.00600
## 8 BH 511. Historic… 12 0 -1.10 0.759 0.503 0.496 0.113
## 9 BH 511. Recent 1 0 -1.11 0.880 0.208 0.0263 0.0671
## 10 BH 511. Recent 2 0 -0.649 0.590 0.330 0.156 0.0993
## # ℹ 310 more rowsmos_flint_locs.pc_avg %>%
ggplot(aes(x=PC1, y=PC2, shape=TimePd, color=elev_m)) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_point() +
facet_wrap(~month) +
coord_fixed(ratio = 1.5)
#as I suspected from the raw PC figure, high elev pop cliamte is most similar to low elev climate in the summer months
#hard to see differences between recent and historical with this fig thoughmos_flint_locs.pc_avg %>%
mutate(group=str_c(parent.pop,elev_m, month)) %>%
ggplot(aes(x=PC1, y=PC2, shape=TimePd, color=elev_m)) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_point() +
geom_path(aes(group=group),arrow = arrow(length=unit(5, "points")))
#high elev climate seems to be shifting to be more similar to low elev
#hard to see which months though Avg across years and months (Flint)
Calculate avgs
flint_recent_grwseason_avgs <- flint_recent_grwseason %>%
group_by(parent.pop, elevation.group, elev_m, Lat, Long) %>%
summarise_at(c("cwd", "pck", "ppt", "tmn", "tmx"), c(mean), na.rm = TRUE) %>%
mutate(TimePd = "Recent")
flint_recent_grwseason_avgs## # A tibble: 23 × 11
## # Groups: parent.pop, elevation.group, elev_m, Lat [23]
## parent.pop elevation.group elev_m Lat Long cwd pck ppt tmn tmx
## <chr> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 BH Low 511. 37.4 -120. 50.6 0 71.0 6.19 19.6
## 2 CC Low 313 39.6 -121. 48.4 0 105. 8.56 21.0
## 3 CP2 High 2244. 38.7 -120. 75.1 41.8 78.2 3.94 16.5
## 4 CP3 High 2266. 38.7 -120. 57.8 44.3 75.4 3.36 15.7
## 5 DPR Mid 1019. 39.2 -121. 30.4 2.72 96.9 9.06 21.9
## 6 FR Mid 787 40.0 -121. 89.7 4.01 58.1 7.37 22.9
## 7 IH Low 454. 39.1 -121. 40.5 0.201 100. 8.07 21.2
## 8 LV1 High 2593. 40.5 -122. 65.5 28.0 73.6 2.35 16.4
## 9 LV3 High 2354. 40.5 -122. 53.6 28.2 72.7 2.31 16.4
## 10 LVTR1 High 2741. 40.5 -122. 73.7 29.0 76.8 2.03 16.3
## # ℹ 13 more rows
## # ℹ 1 more variable: TimePd <chr>flint_historical_grwseason_avgs <- flint_historical_grwseason %>%
group_by(parent.pop, elevation.group, elev_m, Lat, Long) %>%
summarise_at(c("cwd", "pck", "ppt", "tmn", "tmx"), c(mean), na.rm = TRUE) %>%
mutate(TimePd = "Historical")
flint_historical_grwseason_avgs## # A tibble: 23 × 11
## # Groups: parent.pop, elevation.group, elev_m, Lat [23]
## parent.pop elevation.group elev_m Lat Long cwd pck ppt tmn tmx
## <chr> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 BH Low 511. 37.4 -120. 50.6 0.0292 66.6 5.11 18.8
## 2 CC Low 313 39.6 -121. 42.5 0.119 112. 6.36 18.9
## 3 CP2 High 2244. 38.7 -120. 79.7 18.4 69.0 3.99 17.6
## 4 CP3 High 2266. 38.7 -120. 60.3 20.7 67.1 3.54 16.8
## 5 DPR Mid 1019. 39.2 -121. 30.0 5.13 82.5 8.02 22.2
## 6 FR Mid 787 40.0 -121. 87.8 4.54 57.8 6.15 23.0
## 7 IH Low 454. 39.1 -121. 41.5 1.77 97.9 7.07 20.9
## 8 LV1 High 2593. 40.5 -122. 55.5 61.7 127. -1.16 13.9
## 9 LV3 High 2354. 40.5 -122. 43.8 62.3 125. -1.20 13.9
## 10 LVTR1 High 2741. 40.5 -122. 60.4 64.5 133. -1.35 13.7
## # ℹ 13 more rows
## # ℹ 1 more variable: TimePd <chr>flint_grwseason_avgs <- bind_rows(flint_recent_grwseason_avgs, flint_historical_grwseason_avgs) #combine into 1 dataframe
head(flint_grwseason_avgs)## # A tibble: 6 × 11
## # Groups: parent.pop, elevation.group, elev_m, Lat [6]
## parent.pop elevation.group elev_m Lat Long cwd pck ppt tmn tmx
## <chr> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 BH Low 511. 37.4 -120. 50.6 0 71.0 6.19 19.6
## 2 CC Low 313 39.6 -121. 48.4 0 105. 8.56 21.0
## 3 CP2 High 2244. 38.7 -120. 75.1 41.8 78.2 3.94 16.5
## 4 CP3 High 2266. 38.7 -120. 57.8 44.3 75.4 3.36 15.7
## 5 DPR Mid 1019. 39.2 -121. 30.4 2.72 96.9 9.06 21.9
## 6 FR Mid 787 40.0 -121. 89.7 4.01 58.1 7.37 22.9
## # ℹ 1 more variable: TimePd <chr>tail(flint_grwseason_avgs)## # A tibble: 6 × 11
## # Groups: parent.pop, elevation.group, elev_m, Lat [6]
## parent.pop elevation.group elev_m Lat Long cwd pck ppt tmn tmx
## <chr> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 WR Mid 1158 39.3 -121. 50.2 10.8 89.3 7.59 21.8
## 2 WV Mid 749. 40.7 -123. 57.9 9.49 62.0 6.09 22.5
## 3 YO11 High 2872. 37.9 -119. 71.8 15.9 42.1 -0.346 14.6
## 4 YO4 High 2158. 37.8 -120. 62.0 28.6 64.2 3.94 16.9
## 5 YO7 High 2470. 37.8 -120. 67.9 16.4 55.2 2.43 16.5
## 6 YO8 High 2591. 37.8 -119. 86.4 17.8 54.9 1.74 16.1
## # ℹ 1 more variable: TimePd <chr>write_csv(flint_grwseason_avgs, "../output/Climate/growthseason_FlintAvgs.csv")Correlations - Recent + Historical
#normalize the data
climate_normalized_flint_grwseason_avgs <- flint_grwseason_avgs %>% ungroup() %>%
select(cwd:tmx) %>% scale() #normalize the data so they're all on the same scale
head(climate_normalized_flint_grwseason_avgs)## cwd pck ppt tmn tmx
## [1,] -0.6172020 -1.0311639 -0.23764779 0.5500615 0.5166783
## [2,] -0.7518415 -1.0311639 1.12860553 1.4255887 1.0406251
## [3,] 0.8805006 1.3254429 0.05282515 -0.2773442 -0.6693810
## [4,] -0.1778697 1.4692660 -0.06106440 -0.4937444 -0.9718274
## [5,] -1.8504094 -0.8776851 0.80338679 1.6105900 1.3922648
## [6,] 1.7668993 -0.8050003 -0.75501629 0.9867385 1.7718521cor.norm = cor(climate_normalized_flint_grwseason_avgs) #test correlations among the traits
corrplot(cor.norm)
#tmn and tmx highly correlated, consider removing one (90%)PCA - Recent + Historical
avgs_flint.pc = prcomp(flint_grwseason_avgs[c(6:10)], scale = TRUE, center = TRUE)
str(avgs_flint.pc)## List of 5
## $ sdev : num [1:5] 1.662 1.289 0.569 0.404 0.299
## $ rotation: num [1:5, 1:5] 0.2722 0.5299 -0.0457 -0.5749 -0.5591 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : chr [1:5] "cwd" "pck" "ppt" "tmn" ...
## .. ..$ : chr [1:5] "PC1" "PC2" "PC3" "PC4" ...
## $ center : Named num [1:5] 60.7 18.3 76.9 4.7 18.3
## ..- attr(*, "names")= chr [1:5] "cwd" "pck" "ppt" "tmn" ...
## $ scale : Named num [1:5] 16.4 17.72 24.88 2.71 2.62
## ..- attr(*, "names")= chr [1:5] "cwd" "pck" "ppt" "tmn" ...
## $ x : num [1:46, 1:5] -1.31 -2.2 1.47 1.56 -2.71 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : NULL
## .. ..$ : chr [1:5] "PC1" "PC2" "PC3" "PC4" ...
## - attr(*, "class")= chr "prcomp"plot % Variance Explained
summary(avgs_flint.pc)## Importance of components:
## PC1 PC2 PC3 PC4 PC5
## Standard deviation 1.6617 1.2893 0.56913 0.40400 0.29852
## Proportion of Variance 0.5523 0.3325 0.06478 0.03264 0.01782
## Cumulative Proportion 0.5523 0.8848 0.94953 0.98218 1.00000tibble(PC=str_c("PC",str_pad(1:5,2,pad="0")),
percent_var=avgs_flint.pc$sdev[1:5]^2/sum(avgs_flint.pc$sdev^2)*100) %>%
ggplot(aes(x=PC, y=percent_var)) +
geom_col() +
ggtitle("Percent Variance Explained")
Combine PCs with metadata
avgs_flint.pc.dat = data.frame(avgs_flint.pc$x)
avgs_flint_locs.pc = cbind(flint_grwseason_avgs, avgs_flint.pc.dat)
avgs_flint_loadings = data.frame(varnames=rownames(avgs_flint.pc$rotation), avgs_flint.pc$rotation)
avgs_flint_loadings## varnames PC1 PC2 PC3 PC4 PC5
## cwd cwd 0.27216688 0.63669484 0.4813808 -0.5293287 0.09288984
## pck pck 0.52989950 -0.18977160 0.5783539 0.5846822 0.08274511
## ppt ppt -0.04572174 -0.73485549 0.3688738 -0.5664219 0.03154816
## tmn tmn -0.57486538 0.07286451 0.2712605 0.1702671 0.74943140
## tmx tmx -0.55908052 0.11525882 0.4734229 0.1677293 -0.64952445autoplot(avgs_flint.pc, data = flint_grwseason_avgs,
colour='elev_m', alpha=0.5,
label=TRUE, label.label="parent.pop",
loadings=TRUE, loadings.colour='black', loadings.linewidth = 0.7,
loadings.label = TRUE, loadings.label.size=6, loadings.label.colour="black",
loadings.label.vjust = -0.2, loadings.label.repel=TRUE) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_vline(xintercept = 0, linetype="dashed") + geom_hline(yintercept = 0, linetype="dashed") +
theme_classic()
avgs_flint_locs.pc_avg <- avgs_flint_locs.pc %>%
group_by(parent.pop, elev_m, TimePd) %>%
summarise(across(.cols=starts_with("PC"), .fns = mean)) %>%
ungroup()## `summarise()` has grouped output by 'parent.pop', 'elev_m'. You can override
## using the `.groups` argument.avgs_flint_locs.pc_avg## # A tibble: 46 × 9
## parent.pop elev_m TimePd pck PC1 PC2 PC3 PC4 PC5
## <chr> <dbl> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 BH 511. Historical 0.0292 -0.899 0.144 -0.902 0.0187 -0.179
## 2 BH 511. Recent 0 -1.31 0.0770 -0.587 0.0387 -0.0735
## 3 CC 313 Historical 0.119 -1.40 -1.49 -0.314 -0.673 0.153
## 4 CC 313 Recent 0 -2.20 -0.889 0.337 -0.427 0.273
## 5 CP2 2244. Historical 18.4 0.619 0.922 0.262 -0.513 0.0590
## 6 CP2 2244. Recent 41.8 1.47 0.173 0.818 0.119 0.420
## 7 CP3 2266. Historical 20.7 0.639 0.151 -0.456 0.153 0.0383
## 8 CP3 2266. Recent 44.3 1.56 -0.495 0.148 0.741 0.364
## 9 DPR 1019. Historical 5.13 -2.46 -0.952 -0.202 0.891 -0.288
## 10 DPR 1019. Recent 2.72 -2.71 -1.32 -0.00600 0.519 0.0836
## # ℹ 36 more rowsavgs_flint_locs.pc_avg %>%
ggplot(aes(x=PC1, y=PC2, shape=TimePd, color=elev_m)) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_point() +
facet_wrap(~TimePd) +
coord_fixed(ratio = 1.5)
avgs_flint_locs.pc_avg %>%
mutate(group=str_c(parent.pop,elev_m)) %>%
ggplot(aes(x=PC1, y=PC2, shape=TimePd, color=elev_m)) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_point(size=2, alpha=0.7) +
geom_vline(xintercept = 0, linetype="dashed") + geom_hline(yintercept = 0, linetype="dashed") +
geom_path(aes(group=group),arrow = arrow(length=unit(5, "points")), linewidth = .8)
avgs_flint_locs.pc_avg %>%
mutate(group=str_c(parent.pop,elev_m)) %>%
ggplot(aes(x=PC1, y=PC2, shape=TimePd, color=elev_m)) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_point(size=2, alpha=0.7) +
geom_text_repel(aes(label = parent.pop)) +
geom_vline(xintercept = 0, linetype="dashed") + geom_hline(yintercept = 0, linetype="dashed") +
geom_path(aes(group=group),arrow = arrow(length=unit(5, "points")), linewidth = .8)
#growth season climate has shifted for high elev way more than for low elev & directions are varied Avg across years and months (Flint + bioclim)
Calculate avgs
bioclim_recent_grwseason_avgs <- bioclim_recent_grwseason %>%
group_by(parent.pop, elevation.group, elev_m) %>%
summarise_at(c("ann_tmean", "mean_diurnal_range", "temp_seasonality", "temp_ann_range",
"tmean_wettest_month", "tmean_driest_month", "ann_ppt",
"ppt_seasonality","ppt_warmest_month", "ppt_coldest_month"),
c(mean), na.rm = TRUE) %>%
mutate(TimePd = "Recent")
bioclim_recent_grwseason_avgs## # A tibble: 23 × 14
## # Groups: parent.pop, elevation.group [23]
## parent.pop elevation.group elev_m ann_tmean mean_diurnal_range
## <chr> <chr> <dbl> <dbl> <dbl>
## 1 BH Low 511. 12.9 13.4
## 2 CC Low 313 14.8 12.4
## 3 CP2 High 2244. 10.2 12.6
## 4 CP3 High 2266. 9.54 12.4
## 5 DPR Mid 1019. 15.5 12.9
## 6 FR Mid 787 15.1 15.5
## 7 IH Low 454. 14.7 13.2
## 8 LV1 High 2593. 9.38 14.1
## 9 LV3 High 2354. 9.37 14.1
## 10 LVTR1 High 2741. 9.16 14.3
## # ℹ 13 more rows
## # ℹ 9 more variables: temp_seasonality <dbl>, temp_ann_range <dbl>,
## # tmean_wettest_month <dbl>, tmean_driest_month <dbl>, ann_ppt <dbl>,
## # ppt_seasonality <dbl>, ppt_warmest_month <dbl>, ppt_coldest_month <dbl>,
## # TimePd <chr>bioclim_historical_grwseason_avgs <- bioclim_historical_grwseason %>%
group_by(parent.pop, elevation.group, elev_m) %>%
summarise_at(c("ann_tmean", "mean_diurnal_range", "temp_seasonality", "temp_ann_range",
"tmean_wettest_month", "tmean_driest_month", "ann_ppt",
"ppt_seasonality","ppt_warmest_month", "ppt_coldest_month"),
c(mean), na.rm = TRUE) %>%
mutate(TimePd = "Historical")
bioclim_historical_grwseason_avgs## # A tibble: 23 × 14
## # Groups: parent.pop, elevation.group [23]
## parent.pop elevation.group elev_m ann_tmean mean_diurnal_range
## <chr> <chr> <dbl> <dbl> <dbl>
## 1 BH Low 511. 12.0 13.7
## 2 CC Low 313 12.6 12.6
## 3 CP2 High 2244. 10.8 13.7
## 4 CP3 High 2266. 10.2 13.3
## 5 DPR Mid 1019. 15.1 14.2
## 6 FR Mid 787 14.6 16.8
## 7 IH Low 454. 14.0 13.8
## 8 LV1 High 2593. 6.36 15.0
## 9 LV3 High 2354. 6.35 15.1
## 10 LVTR1 High 2741. 6.19 15.1
## # ℹ 13 more rows
## # ℹ 9 more variables: temp_seasonality <dbl>, temp_ann_range <dbl>,
## # tmean_wettest_month <dbl>, tmean_driest_month <dbl>, ann_ppt <dbl>,
## # ppt_seasonality <dbl>, ppt_warmest_month <dbl>, ppt_coldest_month <dbl>,
## # TimePd <chr>bioclim_grwseason_avgs <- bind_rows(bioclim_recent_grwseason_avgs, bioclim_historical_grwseason_avgs) #combine into 1 dataframe
head(bioclim_grwseason_avgs)## # A tibble: 6 × 14
## # Groups: parent.pop, elevation.group [6]
## parent.pop elevation.group elev_m ann_tmean mean_diurnal_range
## <chr> <chr> <dbl> <dbl> <dbl>
## 1 BH Low 511. 12.9 13.4
## 2 CC Low 313 14.8 12.4
## 3 CP2 High 2244. 10.2 12.6
## 4 CP3 High 2266. 9.54 12.4
## 5 DPR Mid 1019. 15.5 12.9
## 6 FR Mid 787 15.1 15.5
## # ℹ 9 more variables: temp_seasonality <dbl>, temp_ann_range <dbl>,
## # tmean_wettest_month <dbl>, tmean_driest_month <dbl>, ann_ppt <dbl>,
## # ppt_seasonality <dbl>, ppt_warmest_month <dbl>, ppt_coldest_month <dbl>,
## # TimePd <chr>tail(bioclim_grwseason_avgs)## # A tibble: 6 × 14
## # Groups: parent.pop, elevation.group [6]
## parent.pop elevation.group elev_m ann_tmean mean_diurnal_range
## <chr> <chr> <dbl> <dbl> <dbl>
## 1 WR Mid 1158 14.7 14.2
## 2 WV Mid 749. 14.3 16.4
## 3 YO11 High 2872. 7.14 15.0
## 4 YO4 High 2158. 10.4 12.9
## 5 YO7 High 2470. 9.46 14.1
## 6 YO8 High 2591. 8.92 14.4
## # ℹ 9 more variables: temp_seasonality <dbl>, temp_ann_range <dbl>,
## # tmean_wettest_month <dbl>, tmean_driest_month <dbl>, ann_ppt <dbl>,
## # ppt_seasonality <dbl>, ppt_warmest_month <dbl>, ppt_coldest_month <dbl>,
## # TimePd <chr>write_csv(bioclim_grwseason_avgs, "../output/Climate/growthseason_BioClimAvgs.csv")Merge with flint
bioclim_flint_grwseason_avgs <- full_join(flint_grwseason_avgs, bioclim_grwseason_avgs) %>%
select(TimePd, parent.pop:ppt_coldest_month)## Joining with `by = join_by(parent.pop, elevation.group, elev_m, TimePd)`head(bioclim_flint_grwseason_avgs)## # A tibble: 6 × 21
## # Groups: parent.pop, elevation.group, elev_m, Lat [6]
## TimePd parent.pop elevation.group elev_m Lat Long cwd pck ppt tmn
## <chr> <chr> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 Recent BH Low 511. 37.4 -120. 50.6 0 71.0 6.19
## 2 Recent CC Low 313 39.6 -121. 48.4 0 105. 8.56
## 3 Recent CP2 High 2244. 38.7 -120. 75.1 41.8 78.2 3.94
## 4 Recent CP3 High 2266. 38.7 -120. 57.8 44.3 75.4 3.36
## 5 Recent DPR Mid 1019. 39.2 -121. 30.4 2.72 96.9 9.06
## 6 Recent FR Mid 787 40.0 -121. 89.7 4.01 58.1 7.37
## # ℹ 11 more variables: tmx <dbl>, ann_tmean <dbl>, mean_diurnal_range <dbl>,
## # temp_seasonality <dbl>, temp_ann_range <dbl>, tmean_wettest_month <dbl>,
## # tmean_driest_month <dbl>, ann_ppt <dbl>, ppt_seasonality <dbl>,
## # ppt_warmest_month <dbl>, ppt_coldest_month <dbl>Correlations - Recent + Historical
#normalize the data
climate_normalized_bioclim_flint_grwseason_avgs <- bioclim_flint_grwseason_avgs %>% ungroup() %>%
select(cwd:ppt_coldest_month) %>% scale() #normalize the data so they're all on the same scale
head(climate_normalized_bioclim_flint_grwseason_avgs)## cwd pck ppt tmn tmx ann_tmean
## [1,] -0.6172020 -1.0311639 -0.23764779 0.5500615 0.5166783 0.5469031
## [2,] -0.7518415 -1.0311639 1.12860553 1.4255887 1.0406251 1.2672133
## [3,] 0.8805006 1.3254429 0.05282515 -0.2773442 -0.6693810 -0.4815115
## [4,] -0.1778697 1.4692660 -0.06106440 -0.4937444 -0.9718274 -0.7465804
## [5,] -1.8504094 -0.8776851 0.80338679 1.6105900 1.3922648 1.5406620
## [6,] 1.7668993 -0.8050003 -0.75501629 0.9867385 1.7718521 1.4063113
## mean_diurnal_range temp_seasonality temp_ann_range tmean_wettest_month
## [1,] -0.1195332 -1.1209686 -0.07197142 1.3220079
## [2,] -0.9777971 0.2176292 0.90627987 1.5057615
## [3,] -0.8548960 1.8467349 0.26777755 -1.0659034
## [4,] -1.0298625 1.9066012 0.24520507 -1.3111842
## [5,] -0.6198840 0.6320417 0.64752626 0.7558527
## [6,] 1.6769223 0.7924384 1.93598312 0.6274792
## tmean_driest_month ann_ppt ppt_seasonality ppt_warmest_month
## [1,] 0.83013479 -0.1784713 -1.2746462 -0.3680526
## [2,] 1.98990615 1.7683680 -0.9482063 -1.1973623
## [3,] -0.08712226 -0.2986810 0.4900038 -0.2830821
## [4,] -0.24044817 -0.3725666 0.3468043 -0.1547530
## [5,] 1.54258744 1.8731054 0.5325080 -1.3291333
## [6,] 1.29917434 -0.0646273 0.5488315 -1.1246699
## ppt_coldest_month
## [1,] -0.76904922
## [2,] 1.18650529
## [3,] 0.21409241
## [4,] 0.02843811
## [5,] 2.02788360
## [6,] -0.23405993cor.norm = cor(climate_normalized_bioclim_flint_grwseason_avgs) #test correlations among the traits
cor.norm## cwd pck ppt tmn
## cwd 1.000000000 0.23774346 -0.705436341 -0.321135064
## pck 0.237743464 1.00000000 0.180204389 -0.791573862
## ppt -0.705436341 0.18020439 1.000000000 0.002345286
## tmn -0.321135064 -0.79157386 0.002345286 1.000000000
## tmx -0.244239688 -0.75453631 -0.030980200 0.904342122
## ann_tmean -0.290402190 -0.79256589 -0.014367324 0.976660759
## mean_diurnal_range 0.198275736 0.14738775 -0.074783031 -0.295576646
## temp_seasonality 0.318540703 0.18692344 -0.359281428 0.212597043
## temp_ann_range 0.005967133 -0.36067657 -0.164934870 0.594149922
## tmean_wettest_month -0.564812550 -0.84264668 0.299482004 0.783527645
## tmean_driest_month -0.446002154 -0.69884120 0.212730550 0.923049105
## ann_ppt -0.764781593 -0.41977866 0.735711695 0.616211091
## ppt_seasonality 0.474607306 0.21848579 -0.488168824 0.113209481
## ppt_warmest_month 0.013355561 0.57475767 0.325364952 -0.826857051
## ppt_coldest_month -0.669308511 0.02795972 0.846232303 0.359770146
## tmx ann_tmean mean_diurnal_range temp_seasonality
## cwd -0.2442397 -0.29040219 0.198275736 0.318540703
## pck -0.7545363 -0.79256589 0.147387747 0.186923444
## ppt -0.0309802 -0.01436732 -0.074783031 -0.359281428
## tmn 0.9043421 0.97666076 -0.295576646 0.212597043
## tmx 1.0000000 0.97490864 0.140435682 0.216598637
## ann_tmean 0.9749086 1.00000000 -0.083487324 0.219883173
## mean_diurnal_range 0.1404357 -0.08348732 1.000000000 -0.008362923
## temp_seasonality 0.2165986 0.21988317 -0.008362923 1.000000000
## temp_ann_range 0.7638816 0.69430075 0.331504402 0.629673853
## tmean_wettest_month 0.7651390 0.79370506 -0.104990551 -0.341990317
## tmean_driest_month 0.9205245 0.94467002 -0.080848873 0.201868335
## ann_ppt 0.5391320 0.59270359 -0.222725893 -0.107209424
## ppt_seasonality 0.1286005 0.12376247 0.025226748 0.728700508
## ppt_warmest_month -0.7642327 -0.81584773 0.207532806 -0.578408441
## ppt_coldest_month 0.3217704 0.34956933 -0.114363623 0.043254214
## temp_ann_range tmean_wettest_month tmean_driest_month
## cwd 0.005967133 -0.5648126 -0.44600215
## pck -0.360676569 -0.8426467 -0.69884120
## ppt -0.164934870 0.2994820 0.21273055
## tmn 0.594149922 0.7835276 0.92304911
## tmx 0.763881582 0.7651390 0.92052446
## ann_tmean 0.694300753 0.7937051 0.94467002
## mean_diurnal_range 0.331504402 -0.1049906 -0.08084887
## temp_seasonality 0.629673853 -0.3419903 0.20186833
## temp_ann_range 1.000000000 0.3449920 0.71014401
## tmean_wettest_month 0.344991950 1.0000000 0.82354620
## tmean_driest_month 0.710144009 0.8235462 1.00000000
## ann_ppt 0.320155603 0.7276664 0.75313122
## ppt_seasonality 0.307197738 -0.4463967 -0.04057608
## ppt_warmest_month -0.760271119 -0.4394938 -0.77055498
## ppt_coldest_month 0.194979987 0.3611721 0.51759851
## ann_ppt ppt_seasonality ppt_warmest_month
## cwd -0.7647816 0.47460731 0.01335556
## pck -0.4197787 0.21848579 0.57475767
## ppt 0.7357117 -0.48816882 0.32536495
## tmn 0.6162111 0.11320948 -0.82685705
## tmx 0.5391320 0.12860054 -0.76423267
## ann_tmean 0.5927036 0.12376247 -0.81584773
## mean_diurnal_range -0.2227259 0.02522675 0.20753281
## temp_seasonality -0.1072094 0.72870051 -0.57840844
## temp_ann_range 0.3201556 0.30719774 -0.76027112
## tmean_wettest_month 0.7276664 -0.44639665 -0.43949383
## tmean_driest_month 0.7531312 -0.04057608 -0.77055498
## ann_ppt 1.0000000 -0.37177534 -0.30947702
## ppt_seasonality -0.3717753 1.00000000 -0.39284582
## ppt_warmest_month -0.3094770 -0.39284582 1.00000000
## ppt_coldest_month 0.8460232 -0.07921628 -0.11536553
## ppt_coldest_month
## cwd -0.66930851
## pck 0.02795972
## ppt 0.84623230
## tmn 0.35977015
## tmx 0.32177042
## ann_tmean 0.34956933
## mean_diurnal_range -0.11436362
## temp_seasonality 0.04325421
## temp_ann_range 0.19497999
## tmean_wettest_month 0.36117208
## tmean_driest_month 0.51759851
## ann_ppt 0.84602316
## ppt_seasonality -0.07921628
## ppt_warmest_month -0.11536553
## ppt_coldest_month 1.00000000corrplot(cor.norm)
#tmn, tmx, tmean_driest_month and ann_tmean all highly correlated (90-98%) - only keep ann_tmean PCA - Recent + Historical
all_bioclim_flint_avgs.pc = prcomp(bioclim_flint_grwseason_avgs[c(7:8, 12:16, 18:21)], scale = TRUE, center = TRUE)
str(all_bioclim_flint_avgs.pc)## List of 5
## $ sdev : num [1:11] 2.113 1.737 1.24 1.079 0.612 ...
## $ rotation: num [1:11, 1:11] 0.2868 0.3572 -0.4288 0.0831 -0.0152 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : chr [1:11] "cwd" "pck" "ann_tmean" "mean_diurnal_range" ...
## .. ..$ : chr [1:11] "PC1" "PC2" "PC3" "PC4" ...
## $ center : Named num [1:11] 60.7 18.27 11.48 13.58 6.25 ...
## ..- attr(*, "names")= chr [1:11] "cwd" "pck" "ann_tmean" "mean_diurnal_range" ...
## $ scale : Named num [1:11] 16.396 17.718 2.6 1.169 0.643 ...
## ..- attr(*, "names")= chr [1:11] "cwd" "pck" "ann_tmean" "mean_diurnal_range" ...
## $ x : num [1:46, 1:11] -1.26 -3.6 1.23 1.29 -3.74 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : NULL
## .. ..$ : chr [1:11] "PC1" "PC2" "PC3" "PC4" ...
## - attr(*, "class")= chr "prcomp"plot % Variance Explained
summary(all_bioclim_flint_avgs.pc)## Importance of components:
## PC1 PC2 PC3 PC4 PC5 PC6 PC7
## Standard deviation 2.1129 1.7374 1.2404 1.0786 0.6116 0.49865 0.29210
## Proportion of Variance 0.4058 0.2744 0.1399 0.1058 0.0340 0.02261 0.00776
## Cumulative Proportion 0.4058 0.6803 0.8202 0.9259 0.9599 0.98252 0.99028
## PC8 PC9 PC10 PC11
## Standard deviation 0.22791 0.19645 0.11435 0.05749
## Proportion of Variance 0.00472 0.00351 0.00119 0.00030
## Cumulative Proportion 0.99500 0.99851 0.99970 1.00000tibble(PC=str_c("PC",str_pad(1:11,2,pad="0")),
percent_var=all_bioclim_flint_avgs.pc$sdev[1:11]^2/sum(all_bioclim_flint_avgs.pc$sdev^2)*100) %>%
ggplot(aes(x=PC, y=percent_var)) +
geom_col() +
ggtitle("Percent Variance Explained")
Combine PCs with metadata
all_bioclim_flint_avgs.pc.dat = data.frame(all_bioclim_flint_avgs.pc$x)
all_bioclim_flint_avgs_locs.pc = cbind(bioclim_flint_grwseason_avgs, all_bioclim_flint_avgs.pc.dat)
all_bioclim_flint_avgs_loadings = data.frame(varnames=rownames(all_bioclim_flint_avgs.pc$rotation), all_bioclim_flint_avgs.pc$rotation)
all_bioclim_flint_avgs_loadings## varnames PC1 PC2 PC3
## cwd cwd 0.28680303 0.327441196 -0.28822861
## pck pck 0.35723241 -0.007749669 0.49142779
## ann_tmean ann_tmean -0.42881133 0.186494965 -0.13184196
## mean_diurnal_range mean_diurnal_range 0.08310213 0.087754510 -0.10073156
## temp_seasonality temp_seasonality -0.01522327 0.504889231 0.30633715
## temp_ann_range temp_ann_range -0.27413141 0.386255302 0.02360241
## tmean_wettest_month tmean_wettest_month -0.42456104 -0.151653843 -0.25173020
## ann_ppt ann_ppt -0.40294787 -0.183172287 0.29359587
## ppt_seasonality ppt_seasonality 0.08765410 0.476292970 0.19773503
## ppt_warmest_month ppt_warmest_month 0.31792621 -0.380463775 0.08011007
## ppt_coldest_month ppt_coldest_month -0.26941558 -0.134074734 0.59867431
## PC4 PC5 PC6 PC7
## cwd 0.021611974 0.08840880 -0.84540413 0.020005889
## pck -0.105643314 -0.13523326 -0.05930551 0.593657240
## ann_tmean 0.009685354 0.27337339 -0.03341264 0.016970083
## mean_diurnal_range -0.884009096 0.18444646 0.11393480 -0.008691253
## temp_seasonality 0.065839429 -0.37507093 0.06713824 -0.437971002
## temp_ann_range -0.358100869 -0.35551709 -0.03451010 0.044178516
## tmean_wettest_month -0.051323581 0.10453701 -0.06890233 0.217741072
## ann_ppt -0.033467656 -0.08533869 -0.31592323 -0.231965263
## ppt_seasonality 0.149342141 0.68736575 0.22298797 -0.056562592
## ppt_warmest_month -0.196791872 0.15486522 -0.09276813 -0.588345102
## ppt_coldest_month -0.097217039 0.28880121 -0.31479214 0.049685412
## PC8 PC9 PC10 PC11
## cwd 0.01876541 0.02760019 -0.053242664 0.01050158
## pck -0.37673051 -0.01622169 0.035413379 0.31935238
## ann_tmean -0.44716691 0.31898430 0.591071799 0.19144677
## mean_diurnal_range 0.20860091 0.26547524 -0.090221071 0.15673480
## temp_seasonality -0.20463773 0.41032251 -0.309332278 0.06120350
## temp_ann_range -0.14339441 -0.61557373 0.171611983 -0.29729914
## tmean_wettest_month -0.43142752 -0.03580975 -0.692148639 0.03432718
## ann_ppt 0.28671028 -0.23520489 -0.005875233 0.64676549
## ppt_seasonality 0.03566604 -0.35723252 -0.174122211 0.13949632
## ppt_warmest_month -0.52149189 -0.23068786 0.056134054 -0.04432540
## ppt_coldest_month 0.10125460 0.20497754 -0.026352098 -0.55104041autoplot(all_bioclim_flint_avgs.pc, data = bioclim_flint_grwseason_avgs,
colour='elev_m', alpha=0.5,
label=TRUE, label.label="parent.pop",
loadings=TRUE, loadings.colour='black', loadings.linewidth = 0.7,
loadings.label = TRUE, loadings.label.size=6, loadings.label.colour="black",
loadings.label.vjust = -0.2, loadings.label.repel=TRUE) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_vline(xintercept = 0, linetype="dashed") + geom_hline(yintercept = 0, linetype="dashed") +
theme_classic()
autoplot(all_bioclim_flint_avgs.pc, data = bioclim_flint_grwseason_avgs,
x=1, y=3,
colour='elev_m', alpha=0.5,
label=TRUE, label.label="parent.pop",
loadings=TRUE, loadings.colour='black', loadings.linewidth = 0.7,
loadings.label = TRUE, loadings.label.size=6, loadings.label.colour="black",
loadings.label.vjust = -0.2, loadings.label.repel=TRUE) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_vline(xintercept = 0, linetype="dashed") + geom_hline(yintercept = 0, linetype="dashed") +
theme_classic()
autoplot(all_bioclim_flint_avgs.pc, data = bioclim_flint_grwseason_avgs,
x=4, y=5,
colour='elev_m', alpha=0.5,
label=TRUE, label.label="parent.pop",
loadings=TRUE, loadings.colour='black', loadings.linewidth = 0.7,
loadings.label = TRUE, loadings.label.size=6, loadings.label.colour="black",
loadings.label.vjust = -0.2, loadings.label.repel=TRUE) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_vline(xintercept = 0, linetype="dashed") + geom_hline(yintercept = 0, linetype="dashed") +
theme_classic()
all_bioclim_flint_avgs_locs.pc_avg <- all_bioclim_flint_avgs_locs.pc %>%
group_by(parent.pop, elev_m, TimePd) %>%
summarise(across(.cols=starts_with("PC"), .fns = mean)) %>%
ungroup()## `summarise()` has grouped output by 'parent.pop', 'elev_m'. You can override
## using the `.groups` argument.all_bioclim_flint_avgs_locs.pc_avg## # A tibble: 46 × 15
## parent.pop elev_m TimePd pck PC1 PC2 PC3 PC4 PC5 PC6
## <chr> <dbl> <chr> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 BH 511. Historic… 0.0292 -1.28 -1.49 -2.16 -0.311 -0.639 0.392
## 2 BH 511. Recent 0 -1.26 -1.23 -1.86 0.0535 -0.343 0.436
## 3 CC 313 Historic… 0.119 -2.30 -3.04 -0.399 0.311 -0.106 -0.524
## 4 CC 313 Recent 0 -3.60 -0.335 0.296 0.501 -0.653 -0.610
## 5 CP2 2244. Historic… 18.4 1.64 -0.799 -1.17 0.301 0.687 -0.632
## 6 CP2 2244. Recent 41.8 1.23 1.68 1.50 0.829 -0.910 -0.554
## 7 CP3 2266. Historic… 20.7 1.65 -1.37 -0.734 0.574 0.386 0.366
## 8 CP3 2266. Recent 44.3 1.29 1.25 1.86 0.941 -1.29 0.381
## 9 DPR 1019. Historic… 5.13 -2.99 0.252 0.597 -0.633 0.663 1.15
## 10 DPR 1019. Recent 2.72 -3.74 0.233 1.74 0.468 0.460 0.474
## # ℹ 36 more rows
## # ℹ 5 more variables: PC7 <dbl>, PC8 <dbl>, PC9 <dbl>, PC10 <dbl>, PC11 <dbl>all_bioclim_flint_avgs_locs.pc_avg %>%
ggplot(aes(x=PC1, y=PC2, shape=TimePd, color=elev_m)) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_point() +
facet_wrap(~TimePd) +
coord_fixed(ratio = 1.5)
all_bioclim_flint_avgs_locs.pc_avg %>%
mutate(group=str_c(parent.pop,elev_m)) %>%
ggplot(aes(x=PC1, y=PC2, shape=TimePd, color=elev_m)) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_point(size=2, alpha=0.7) +
geom_vline(xintercept = 0, linetype="dashed") + geom_hline(yintercept = 0, linetype="dashed") +
geom_path(aes(group=group),arrow = arrow(length=unit(5, "points")), linewidth = .8)
all_bioclim_flint_avgs_locs.pc_avg %>%
mutate(group=str_c(parent.pop,elev_m)) %>%
ggplot(aes(x=PC1, y=PC2, shape=TimePd, color=elev_m)) +
scale_colour_gradient(low = "#F5A540", high = "#0043F0") +
geom_point(size=2, alpha=0.7) +
geom_text_repel(aes(label = parent.pop)) +
geom_vline(xintercept = 0, linetype="dashed") + geom_hline(yintercept = 0, linetype="dashed") +
geom_path(aes(group=group),arrow = arrow(length=unit(5, "points")), linewidth = .8)
#high elev climate seems to be shifting to be more similar to low elev